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Optical drives at terahertz and mid-infrared frequencies in quantum materials are increasingly used to reveal the nonlinear dynamics of collective modes in correlated many-body systems and their interplay with electromagnetic waves. Recent…

Floquet systems are periodically driven systems. In this framework, the system Hamiltonian and associated spectra of interest are modified, giving rise to new quantum phases of matter and nonequilibrium dynamics without static counterparts.…

Periodically driven quantum systems exhibit many fascinating phenomena absent in equilibrium systems, but their simulation is more challenging than that of static systems. Consequently, quantum simulation of these systems offers greater…

We study low--temperature non Gaussian thermal fluctuations of a system of classical particles around a (hypothetical) crystalline ground state. These thermal fluctuations are described by the behaviour of a system of long range interacting…

凝聚态物理 · 物理学 2007-05-23 Sergio Albeverio , Roman Gielerak , Helge Holden , Torbjørn Kolsrud , Mohammed Mebkhout

Floquet systems are governed by periodic, time-dependent, Hamiltonians. Prima facie they should absorb energy from the external drives involved in modulating their couplings and heat up to infinite temperature. However this unhappy state of…

强关联电子 · 物理学 2022-10-05 Fenner Harper , Rahul Roy , Mark S. Rudner , S. L. Sondhi

We study the effects of a periodically driven electric field applied to a variety of tight-binding models in one dimension. We first consider a non-interacting system with or without a staggered on-site potential, and we find that that…

介观与纳米尺度物理 · 物理学 2021-02-17 Samudra Sur , Diptiman Sen

Floquet driven systems represent an extremely interesting arena to study out-of-equilibrium phenomena. For instance, they provide realizations of discrete time crystals, where the discrete time translation symmetry of the periodic…

量子物理 · 物理学 2022-04-25 J. R. M. de Nova , F. Sols

Prethermal discrete time crystals (PDTCs), an emergent non-equilibrium phase of matter, have been studied in two- and higher-dimensional lattices with nearest-neighbor (NN) interactions and one-dimensional (1D) lattices with long-range…

量子物理 · 物理学 2025-10-13 Zhuo-Yi Li , Yu-Ran Zhang

Floquet theory provides rigorous foundations for the theory of periodically driven quantum systems. In the case of non-periodic driving, however, the situation is not so well understood. Here, we provide a critical review of the theoretical…

量子物理 · 物理学 2016-11-23 Albert Verdeny , Joaquim Puig , Florian Mintert

It is well understood that many-body systems driven at high frequency heat up only exponentially slowly and exhibit a long prethermalization regime. We prove rigorously that a certain relevant class of systems heat very slowly under weak…

统计力学 · 物理学 2019-11-06 Wojciech De Roeck , Victor Verreet

We investigate the periodically driven dynamics of many-body systems, either classical or quantum, finite-dimensional or mean-field, displaying an unbounded phase-space. Using the lattice $\phi^4$ model and the $p$-spin spherical model as…

统计力学 · 物理学 2024-12-10 Lorenzo Correale , Leticia F. Cugliandolo , Marco Schirò , Alessandro Silva

The critical properties characterizing the formation of the Floquet time crystal in the prethermal phase are investigated analytically in the periodically driven $O(N)$ model. In particular, we focus on the critical line separating the…

统计力学 · 物理学 2021-06-29 Muath Natsheh , Andrea Gambassi , Aditi Mitra

Under the action of coherent periodic driving a generic quantum system will undergo Floquet heating and continously absorb energy until it reaches a featureless thermal state. The phase-space constraints induced by certain symmetries can,…

强关联电子 · 物理学 2021-02-03 Joseph Tindall , Frank Schlawin , Michael A. Sentef , Dieter Jaksch

We present a short derivation and discussion of the master equation for an open quantum system weakly coupled to a heat bath and then its generalization to the case of with periodic external driving based on the Floquet theory. Further, a…

量子物理 · 物理学 2012-05-22 Robert Alicki , David Gelbwaser-Klimovsky , Gershon Kurizki

The fluctuation-dissipation relation (FDR) links thermal fluctuations and dissipation at thermal equilibrium through temperature. Extending it beyond equilibrium conditions in pursuit of broadening thermodynamics is often feasible, albeit…

统计力学 · 物理学 2025-02-04 Dima Boriskovsky , Benjamin Lindner , Yael Roichman

Prethermalization refers to the transient phenomenon where a system thermalizes according to a Hamiltonian that is not the generator of its evolution. We provide here a rigorous framework for quantum spin systems where prethermalization is…

数学物理 · 物理学 2017-07-11 Dmitry Abanin , Wojciech De Roeck , Wen Wei Ho , Francois Huveneers

We investigate a simple model corresponding to particles driven in opposite directions and interacting via a repulsive potential. The particles move off-lattice on a periodic strip and are subject to random forces as well. We show that this…

统计力学 · 物理学 2009-10-31 Dirk Helbing , Illes Farkas , Tamas Vicsek

Ultracold atomic gas provides a useful tool to explore many-body physics. One of the recent additions to this experimental toolbox is the Floquet engineering, where periodic modulation of the Hamiltonian allows the creation of effective…

量子气体 · 物理学 2022-03-07 Constantine Shkedrov , Meny Menashes , Gal Ness , Anastasiya Vainbaum , Ehud Altman , Yoav Sagi

We study the ergodic properties of a unitary Floquet dynamics arising from the repeated application of a translationally-invariant Clifford Quantum Cellular Automata to an infinite system of qubits in d dimensions. One expects that if the…

量子物理 · 物理学 2026-03-23 Anton Kapustin , Daniil Radamovich

Motivated by recent experimental progress to read out quantum bits implemented in superconducting circuits via the phenomenon of dynamical bifurcation, transitions between steady orbits in a driven anharmonic oscillator, the Duffing…

其他凝聚态物理 · 物理学 2015-05-19 Alvise Verso , Joachim Ankerhold